Please wait a minute...
Chin. Phys. B, 2026, Vol. 35(6): 060305    DOI: 10.1088/1674-1056/ae5b5c
GENERAL Prev   Next  

Dynamics of spin-orbital-angular-momentum coupled Bose-Einstein condensates on a ring

Lin Wen(文林)1, Yi-Han Huang(黄燚寒)1, Lei Zhao(赵磊)1, Xu Qiu(邱旭)1,2,†, and Ming-Yue Yang(杨明月)3,‡
1 College of Physics and Optoelectronic Engineering, Chongqing Normal University, Chongqing 401331, China;
2 College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
3 Department of Physics, Capital Normal University, Beijing 100048, China
Abstract  We investigate the dynamics of a two-component Bose-Einstein condensate subject to spin-orbital-angular-momentum coupling and confined to a ring, via the variational approach. Adopting a single-mode approximation by assuming that the BEC carries a single angular momentum for SU(2)-symmetric spin interactions, the equations of motion for the variational parameters are derived. The phase diagram of the ground state in the plane of the Raman coupling and detuning contains three different phases which meet at a tricritical point, and the exact phase boundaries between the three phases are determined. Linear stability analysis shows that the stationary state is dynamically stable, and there exists an oscillation eigenmode with frequency determined by detuning, angular momentum, and Raman coupling. The time-evolution results indicate that the spin vector undergoes periodic rotation along a closed orbit on the Bloch sphere, which can be interpreted as a precession of the collective spin around an effective field determined by the Raman coupling strength, the detuning, and the angular momentum.
Keywords:  ultracold atom      Bose-Einstein condensate      spin-orbital-angular-momentum coupling  
Received:  04 February 2026      Revised:  16 March 2026      Accepted manuscript online:  03 April 2026
PACS:  03.75.Mn (Multicomponent condensates; spinor condensates)  
  37.10.Vz (Mechanical effects of light on atoms, molecules, and ions)  
  67.85.-d (Ultracold gases, trapped gases)  
Fund: Project by the National Natural Science Foundation of China (Grant Nos. 12175027 and 11875010), the Natural Science Foundation of Chongqing (Grant No. CSTB2025NSCQGPX1010), and the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJQN202500531).
Corresponding Authors:  Xu Qiu, Ming-Yue Yang     E-mail:  xuqiu@cqnu.edu.edu;2220601001@cnu.edu.cn

Cite this article: 

Lin Wen(文林), Yi-Han Huang(黄燚寒), Lei Zhao(赵磊), Xu Qiu(邱旭), and Ming-Yue Yang(杨明月) Dynamics of spin-orbital-angular-momentum coupled Bose-Einstein condensates on a ring 2026 Chin. Phys. B 35 060305

[1] Sakurai J J and Napolitano J 2020 Modern Quantum Mechanics, 3rd end. (Cambridge University Press)
[2] Lin Y J, Jiménez-GarcÍa K and Spielman I B 2011 Nature 471 83
[3] Zhang J Y, Ji S C, Chen Z, Zhang L, Du Z D, Yan B, Pan G S, Zhao B, Deng Y J, Zhai H, Chen S and Pan J W 2012 Phys. Rev. Lett. 109 115301
[4] Wang P, Yu Z Q, Fu Z, Miao J, Huang L, Chai S, Zhai H and Zhang J 2012 Phys. Rev. Lett. 109 095301
[5] Cheuk L W, Sommer A T, Hadzibabic Z, Yefsah T, Bakr W S and Zwierlein M W 2012 Phys. Rev. Lett. 109 095302
[6] Chen H R, Lin K Y, Chen P K, Chiu N C, Wang J B, Chen C A, Huang P P, Yip S K, Kawaguchi Y and Lin Y J 2018 Phys. Rev. Lett. 121 113204
[7] Chen P K, Liu L R, Tsai M J, Chiu N C, Kawaguchi Y, Yip S K, Chang M S and Lin Y J 2018 Phys. Rev. Lett. 121 250401
[8] Zhang D, Gao T, Zou P, Kong L, Li R, Shen X, Chen X L, Peng S G, Zhan M, Pu H and Jiang K 2019 Phys. Rev. Lett. 122 110402
[9] Wang C, Gao C, Jian CMand Zhai H 2010 Phys. Rev. Lett. 105 160403
[10] Ho T L and Zhang S 2011 Phys. Rev. Lett. 107 150403
[11] Zhang Y, Mao L and Zhang C 2012 Phys. Rev. Lett. 108 035302
[12] Li Y, Pitaevskii L P and Stringari S 2012 Phys. Rev. Lett. 108 225301
[13] Wen L, Sun Q, Wang H Q, Ji A C and Liu W M 2012 Phys. Rev. A 86 043602
[14] Sun Q, Wen L, Liu W M, Juzeliunas G and Ji A C 2015 Phys. Rev. A 91 033619
[15] Su S W, Gou S C, Sun Q, Wen L, Liu W M, Ji A C, Ruseckas J and Juzeliunas G 2016 Phys. Rev. A 93 053630
[16] Sinha S, Nath R and Santos L 2011 Phys. Rev. Lett. 107 270401
[17] Hu H, Ramachandhran B, Pu H and Liu X J 2012 Phys. Rev. Lett. 108 010402
[18] Kawakami T, Mizushima T, Nitta M and Machida K 2012 Phys. Rev. Lett. 109 015301
[19] Wilson R M, Anderson B M and Clark C W 2013 Phys. Rev. Lett. 111 185303
[20] Liu C F, Wan W J and Zhang G Y 2013 Acta Phys. Sin. 62 200306 (in Chinese)
[21] Li J, Liu B, Bai J, Wang H Y and He T C 2020 Acta Phys. Sin. 69 140301 (in Chinese)
[22] Wang Y, Cui J, Zhang H, Zhao Y, Xu S and Zhou Q 2024 Chin. Phys. Lett. 41 090302
[23] He J T, Fang P P and Lin J 2022 Chin. Phys. Lett. 39 020301
[24] Guo H, Qiu X, Ma Y, Jiang H F and Zhang X F 2021 Chin. Phys. B 30 060310
[25] Xu Y, Zhang Y and Wu B 2013 Phys. Rev. A 87 013614
[26] Achilleos V, Frantzeskakis D J, Kevrekidis P G and Pelinovsky D E 2013 Phys. Rev. Lett. 110 264101
[27] Kartashov Y V, Konotop V V and Abdullaev F K 2013 Phys. Rev. Lett. 111 060402
[28] Zhang Y, Xu Y and Busch T 2015 Phys. Rev. A 91 043629
[29] Wen L, Sun Q, Chen Y,Wang D S, Hu J, Chen H, LiuWM, Juzeliunas G, Malomed B A and Ji A C 2016 Phys. Rev. A 94 061602
[30] Duan Y, Bidasyuk Y M and Surzhykov A 2021 Phys. Rev. A 102 063328
[31] Chen K J,Wu F, Peng S G, YiWand He L Y 2020 Phys. Rev. Lett. 125 260407
[32] Wang L L, Ji A C, Sun Q and Li J 2021 Phys. Rev. Lett. 126 193401
[33] Edmonds M 2021 Phys. Rev. A 104 043310
[34] Bidasyuk Y M, Kovtunenko K S and Prikhodko O O 2022 Phys. Rev. A 105 023320
[35] Cao R, Han J S, Wu J H, Yuan J M, He L Y and Li Y Q 2022 Phys. Rev. A 105 063308
[36] Chen K J, Wu F, Hu J and He L 2020 Phys. Rev. A 102 013316
[37] Chen X L, Peng S G, Zou P and Hu H 2020 Phys. Rev. Res. 2 033152
[38] Sun K, Qu C L and Zhang C W 2015 Phys. Rev. A 91 063627
[39] Chen L, Pu H and Zhang Y B 2016 Phys. Rev. A 96 013629
[40] Malomed B A 2022 Prog. Opt. 43 71
[1] BCS pairing state in an asymmetric binary Bose gas
Zesheng Shen(沈泽盛) and Lan Yin(尹澜). Chin. Phys. B, 2026, 35(4): 046701.
[2] Ground state of SU(3) spin-orbit coupled soft-core Bose gas
Jia Liu(刘佳), Jing Feng(冯婧), Ya-Jun Wang(王雅君), Xiao-Fei Zhang(张晓斐), and Xue-Ying Yang(杨雪滢). Chin. Phys. B, 2025, 34(6): 060301.
[3] A Rb-Cs dual-species magneto-optical trap
Shiyao Shao(邵师尧), Qing Li(李庆), Lihua Zhang(张力华), Bang Liu(刘邦), Zhengyuan Zhang(张正源), Qifeng Wang(王启锋), Jun Zhang(张俊), Yu Ma(马宇), Tianyu Han(韩天宇), Hanchao Chen(陈瀚超), Jiadou Nan(南佳豆), Yiming Yin(殷一鸣), Dongyang Zhu(朱东杨), Yajun Wang(王雅君), Dongsheng Ding(丁冬生), and Baosen Shi(史保森). Chin. Phys. B, 2025, 34(6): 063702.
[4] Observation of Josephson effect in 23Na spinor Bose-Einstein condensates
Yong Qin(秦永), Xin Wang(王鑫), Jun Jian(蹇君), Wenliang Liu(刘文良), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Jie Ma(马杰), Liantuan Xiao(肖连团), and Suotang Jia(贾锁堂). Chin. Phys. B, 2025, 34(3): 033701.
[5] Observation of momentum-induced broadening of width in narrow Feshbach resonances of ultracold 133Cs atoms
Zhennan Liu(刘震南), Hongxing Zhao(赵宏星), Yunfei Wang(王云飞), Yuqing Li(李玉清), Jizhou Wu(武寄洲), Wenliang Liu(刘文良), Peng Li(李鹏), Yongming Fu(付永明), Liantuan Xiao(肖连团), Jie Ma(马杰), and Suotang Jia(贾锁堂). Chin. Phys. B, 2025, 34(2): 023701.
[6] Energy mechanism of the first-order superradiant phase transition in cavity-BEC system with double asymmetric pump beams
Wei Qin(覃威), Dong-Chen Zheng(郑东琛), Jia-Ying Lin(林佳颖), Yuan-Hong Chen(陈元鸿), and Renyuan Liao(廖任远). Chin. Phys. B, 2025, 34(12): 120507.
[7] Mediated interactions between two impurities immersed in a Bose-Einstein condensate
Dong-Chen Zheng(郑东琛), Chun-Rong Ye(叶春荣), Yan-Xue Lin(林燕雪), Lin Wen(文林), and Renyuan Liao(廖任远). Chin. Phys. B, 2025, 34(12): 126702.
[8] Exceptional rings and non-Abelian topology in non-Hermitian high-spin systems
Peng-Zhen Sun(孙鹏震), Zhou-Tao Lei(雷周涛), and Yuan-Gang Deng(邓元刚). Chin. Phys. B, 2025, 34(11): 110303.
[9] Computing the ground state solution of Bose-Einstein condensates by an energy-minimizing normalized residual network
Ren-Tao Wu(吴任涛), Ji-Dong Gao(高济东), Yu-Han Wang(王宇晗), Zhen-Wei Deng(邓振威), Ming-Jun Li(李明军), and Rong-Pei Zhang(张荣培). Chin. Phys. B, 2025, 34(10): 100305.
[10] Pairing transitions in a binary Bose gas
Zesheng Shen(沈泽盛) and Lan Yin(尹澜). Chin. Phys. B, 2025, 34(10): 106702.
[11] Manipulation of gray-ring dark solitons in a two-component Bose gas with tunable soft-core interactions
Qiu-Ling He(何秋玲), Lin-Xue Wang(王林雪), Rui Jin(金瑞), Fang Wang(王芳), Ya-Jun Wang(王雅君), and Xiao-Fei Zhang(张晓斐). Chin. Phys. B, 2025, 34(10): 100306.
[12] Kármán vortex street in a spin-orbit-coupled Bose-Einstein condensate with PT symmetry
Kai-Hua Shao(邵凯花), Bao-Long Xi(席保龙), Zhong-Hong Xi(席忠红), Pu Tu(涂朴), Qing-Qing Wang(王青青), Jin-Ping Ma(马金萍), Xi Zhao(赵茜), and Yu-Ren Shi(石玉仁). Chin. Phys. B, 2024, 33(6): 060501.
[13] Effects of drive imbalance on the particle emission from a Bose-Einstein condensate in a one-dimensional lattice
Long-Quan Lai(赖龙泉) and Zhao Li(李照). Chin. Phys. B, 2024, 33(3): 030308.
[14] Efficient loading of cesium atoms in a magnetic levitated dimple trap
Guoqing Zhang(张国庆), Guosheng Feng(冯国胜), Yuqing Li(李玉清), Jizhou Wu(武寄洲), and Jie Ma(马杰). Chin. Phys. B, 2024, 33(2): 023702.
[15] Dynamical nonlinear excitations induced by interaction quench in a two-dimensional box-trapped Bose-Einstein condensate
Zhen-Xia Niu(牛真霞) and Chao Gao(高超). Chin. Phys. B, 2024, 33(2): 020314.
No Suggested Reading articles found!